{
  "id": "1310.6471",
  "version": "v1",
  "published": "2013-10-24T03:19:59.000Z",
  "updated": "2013-10-24T03:19:59.000Z",
  "title": "A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion",
  "authors": [
    "Yoshikazu Giga",
    "Pen-Yuan Hsu",
    "Yasunori Maekawa"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed. We study the vorticity equations instead of the original Navier-Stokes equations. As an application, we extend the geometric regularity criterion for the Navier-Stokes equations in the three-dimensional half space under the no-slip boundary condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-24T03:19:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "no-slip boundary condition",
      "geometric regularity criterion",
      "planer navier-stokes equations",
      "liouville theorem",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6471G"
    }
  }
}